A Course in Old and New Geometry: Volume 1: Axiomatic and Neutral Geometry
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A Course in Old and New Geometry
Volume I: Axiomatic and Neutral Geometry
The front cover shows the figure from page 132 showing the construction by Hilbert tools to erect an isosceles triangle onto a given segment. Since Hilbert tools are weaker than Euclidean tools, one cannot construct an equilateral triangle in neutral geometry. A decade long experience of teaching the course Fundamental of Geometry at the University of North Carolina at Charlotte, many notes for exercises, reading and re...























